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2 years ago

Does 11/25 have a repeating decimal form

Mathematics

1 answer:

Lady bird [3.3K]2 years ago

8 0

No

Hope that this helps you!

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An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corne

lawyer [7]

Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

W = 6 inches

Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

This is less than 0 and therefore, the volume of the box is maximized when a 1.31 inch by 1.3 inch square is cut from the corners of the cardboard sheet.

3 0

3 years ago

X/4 - 17 into a word phrase

xz_007 [3.2K]

X fourths minus seventeen

5 0

3 years ago

Find the quotient 6 2/7 ÷ 2 3/4

gregori [183]

Answer:

Find the quotient.

6 2/7 divided by 2 3/4.

2 2/7. (MY ANSWER)

17 2/7.

2 6/11.

7/16.

Step-by-step explanation:

I hope this helps you!!

8 0

2 years ago

Read 2 more answers

The point B(1, 1) is rotated 90° counterclockwise around the origin. What are the co

Thepotemich [5.8K]

Given that the point B is (1,1) is rotate 90° counterclockwise around the origin.

We need to determine the coordinates of the resulting point B'.

<u>Coordinates of the point B':</u>

The general rule to rotate the point 90° counterclockwise around the origin is given by

$(x, y) \rightarrow(-y, x)$

The new coordinate can be determined by interchanging the coordinates of x and y and changing the sign of y.

Now, we shall determine the coordinates of the point B' by substituting (1,1) in the general rule.

Thus, we have;

Coordinates of B' = $(1,1) \rightarrow(-1,1)$

Thus, the coordinates of the resulting point B' is (-1,1)

3 0

2 years ago

There are 6 red socks and 8 black

RideAnS [48]

Answer:

24/91

Step-by-step explanation:

6 red socks and 8 black = 14 socks

P( red) = red/total = 6/14 = 3/7

Keep the red sock

5 red socks and 8 black = 13 socks

P(black) = black / total = 8/13

P(red, black, keeping the sock) = 3/7 * 8/13 = 24/91

5 0

2 years ago